Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t)=16t squa red, where t is time in seconds. The height of a certain tower is 986 feet. How long would it take an object to fall to the ground from the top of the building?
2 answers:
Answer:
7.85sec
Step-by-step explanation:
Given that,
s(t)=16t squared, where t is time in seconds. The height of a certain tower is 986 feet.
s(t) = 16t²
so when s = 986feet
16t² = 986 feet
t² = 986 / 16
t² = 61.625
t = √61.625
t= 7.85 seconds
Answer: t = 7.85seconds
Step-by-step explanation:
Given that :
Height of tower = 986 Feets
Function s(t) = 16t^2
To find the time t 8 in Seconds taken for an object to fall to the ground from the top of the building
16t^2 = 986
t^2 = 986/16
t ^2 = 61.625
Take the square root of both sides
t = sqrt(61.625)
t = 7.85seconds
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